# SAT Math 9.5 Algebra and Functions

SAT Math 9.5 Algebra and Functions

 Algebra FactoringQuadratic Equations Algebra II Quadratic Equations Algebra and Functions Solving Quadratic Equations by Factoring Language English Language Passport to Advanced Math Quadratic and exponential functions (word problems) Product Type SAT Math Quadratic Equations Quadratic Equations SAT Math Algebra and Functions

### Transcript

00:37

Let’s take a closer look at the second requirement.

00:40

This just means that if we plugged the value (x + 1) into the function,

00:44

which we’re given in the first requirement, we can solve for x.

00:47

To solve this equation, we’re first going to have to turn it back into a polynomial.

00:51

So, we expand (x + 1) squared first.

00:55

By applying foil, we turn (x + 1) squared into x squared + 2x + 1.

01:03

Then, we distribute -6 into the second parentheses. We get -6x - 6.

01:10

Now we can combine like terms. There’s only one x squared term, so that stays by itself.

01:15

However, we have both 2x and -6x, so we can combine those to -4x.

01:20

Then, all of the constants add to +3. Great, we have a polynomial!

01:24

To be more specific… it's a quadratic.

01:27

We can just stick this puppy into the quadratic formula and come out with the answer.

01:31

Plugging in our values, we get that x is equal to 4 plus or minus the square root of 16 – 12 over 2.

01:40

This simplifies to 4 plus or minus 2 over 2. The possibilities are 1 or 3.

01:47

That's our answer either 1 or 3.